statistics help

posted by Student

The branch manager of an outlet (Store 1) of a nationwide chain of pet supply stores wants to study characteristics of her customers. In particular, she decides to focus on two variables: the amount of money spent by customers and whether the customers own only one dog, only one cat, or more than one dog and/or cat. The results from a sample of 70 customers are follows:
- Amount of money spent: X = $21.34, S=$9.22
- 37 customers own only a dog
- 26 customers own only a cat
- 7 customers own more than one dog and/or cat

a) Construct a 95% confidence interval estimate of the population mean amount in the pet supply.
b) Construct a 90% confidence interval estimate of the population proportion of customers who own only a cat

The branch manager of another outlet (Store 2) wishes to conduct a similar survey in the store. The manager does not have access to the information generated by the manager of Store 1. Answer the following questions:

c) What sample size is needed to have 95% confidence of estimating the population mean amount spent in his store within +/-$1.50 if the standard deviation is $10
d) What sample size is needed to have 90% confidence of estimating the population proportion of customers who own only a cat to within +/-0.045?
e) Based on your answers for c and d, how large a sample should the manager take?

Note*The manager at store 2 only has enough money budgeted to do one sample analysis

  1. Student

    - Amount of money spent: X = $21.34, S=$9.22
    - 37 customers own only a dog
    - 26 customers own only a cat
    - 7 customers own more than one dog and/or cat

    a) Construct a 95% confidence interval estimate of the population mean amount in the pet supply.
    b) Construct a 90% confidence interval estimate of the population proportion of customers who own only a cat

  2. Student

    The branch manager of another outlet (Store 2) wishes to conduct a similar survey in the store. The manager does not have access to the information generated by the manager of Store 1. Answer the following questions:

    c) What sample size is needed to have 95% confidence of estimating the population mean amount spent in his store within +/-$1.50 if the standard deviation is $10
    d) What sample size is needed to have 90% confidence of estimating the population proportion of customers who own only a cat to within +/-0.045?
    e) Based on your answers for c and d, how large a sample should the manager take?

    Note: The manager at store 2 only has enough money budgeted to do one sample analysis.

  3. drwls

    Incomplete post

  4. Student

    For complete post, please see Statistics help with Statistics help Part 2 and Part 3

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Stats

    The branch manager of an outlet of a nationwide chain of pet supply stores wants to study characteristics of her customers. In particular, she decides to focus on two variables: the amount of money spent by customers and whether the …
  2. MATHS

    A woman had $200. she went to the meatshop, a drug store and a book store. she spent four(4) times as much money in the meatshop as in the drug store. she spent $15 less at the book store than at the drug store she then had $5.00 left. …
  3. statistics

    It is estimated that amounts of money spent on gasoline by customers at their gas stations follows a normal distribution witha standard deviation of $3. It was also found that 10% of all customers spent more than $25. What percentage …
  4. Statistics

    A major department store chain is interested in estimating the average amount its credit card customers spent on their first visit to the chain's new store in the mall. Fifteen credit card accounts were randomly sampled and analyzed …
  5. Math

    Mr. Wood went to the stores to buy school supplies for his children. He spent half of his money plus $5 at Store A. He then spent half of his remaining money plus $10 at Store B. At the end he had $25 left. How much money did Mr. Wood …
  6. Math

    Mr.Wood went to the stores to buy school supplies for his children. He spent half of his money plus $5 at Store A. He then spent half of the remaining money plus $10 at Store B. At the end he had $25 left. How much money did Mr. Wood …
  7. Statistics

    The per-store daily customer count (i.e., the mean number of customers in a store in one day) for a nationwide convenience store chain that operates nearly 10,000 stores has been steady, at 900, for some time. To increase the customer …
  8. Statistics

    The per-store daily customer count (i.e., the mean number of customers in a store in one day) for a nationwide convenience store chain that operates nearly 10,000 stores has been steady, at 900, for some time. To increase the customer …
  9. English

    What sets off the main conflict in A and P. Answers are Three girls in bathing suits enter grocery store A grocery store clerk is distracted from his work A store manager enforces the stores clothing policy A clerk decides to rebel …
  10. STATISTICS

    The Erie Run Outlet mall has two NIKE stores, one is on Liberty street and the other on Barnes St. Two stores laid of differently, both owners claim their stores maximizes the amounts customers will impulse purchase. A sample of 10 …

More Similar Questions